Recently, the importance of fractional differential equations in the field of applied science
has gained more attention not only in mathematics but also in electrodynamics, control …

Nonlinear initial/boundary value problems present challenges in solving due to the
divergence of coefficients near singular points. This study introduces a novel …

Recently, the applications of special functions of matrix arguments have received more
attention in many fields, such as theoretical physics, number theory, probability theory …

This research paper aims to introduce an extension of the k-Hurwitz–Lerch ζ-function of
matrix arguments and interpret its several properties, like generating matrix relations …

In this article, we aim to investigate various formulae for the (p, k) (p,k)-analogues of Gauss
hypergeometric functions, including the integral transforms and the operators of fractional …

Solution of fractional kinetic equations involving extended $(k,\tau)$-Gauss hypergeometric
matrix functions Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 7(8) …

In this manuscript, we present a new definition of (k, τ)-Gauss hypergeometric matrix function
and study its analytical properties, like derivative formulas and integral representations …

In this paper, we construct a (p, k)-hypergeometric function by using the Hadamard product,
which we call the generalized (p, k)-hypergeometric function. Several properties, namely …

The beta-logarithmic function substantially generalizes the standard beta function, which is
widely recognized for its significance in many applications. This article is devoted to the …

Throughout the history of natural science, special functions (SFs) have been a powerful
instrument in the solution of a wide variety of important problems in various fields such as …